123001000300200 has 384 divisors, whose sum is σ = 417102218035200. Its totient is φ = 29737099392000.

The previous prime is 123001000300181. The next prime is 123001000300231. The reversal of 123001000300200 is 2003000100321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10333607449 + ... + 10333619351.

It is an arithmetic number, because the mean of its divisors is an integer number (1086203692800).

Almost surely, 2^{123001000300200} is an apocalyptic number.

123001000300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123001000300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208551109017600).

123001000300200 is an abundant number, since it is smaller than the sum of its proper divisors (294101217735000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123001000300200 is a wasteful number, since it uses less digits than its factorization.

123001000300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16073 (or 16064 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 123001000300200 its reverse (2003000100321), we get a palindrome (125004000400521).

The spelling of 123001000300200 in words is "one hundred twenty-three trillion, one billion, three hundred thousand, two hundred".